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Finding the Fourth Proportional to 872.06, 1,305.93 and 597.20

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Solution

The fourth proportional to 872.06, 1,305.93 and 597.20 is: 894.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    872.06 : 1,305.93 = 597.20 : x
  2. Step 2: Convert to fraction form
    872.06/1,305.93 = 597.20/x
  3. Step 3: Cross multiply
    872.06x = 1,305.93 × 597.20
  4. Step 4: Simplify right side
    872.06x = 779,901.40
  5. Step 5: Solve for x
    x = 779,901.40/872.06
  6. Step 6: Final answer
    x = 894.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.